4. Find an irreducible polynomial defining the field extension K = Q (cube root 2, sq root − 3) over Q . Is K a normal extension of Q ? What is the Galois group for the splitting field of the polynomial defining K over Q ?© BrainMass Inc. brainmass.com December 24, 2021, 4:51 pm ad1c9bdddf
The Galois group for the splitting field of a polynomial is determined.